期刊
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS
卷 14, 期 5, 页码 391-406出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/13873950701844170
关键词
second-order systems; model reduction; balanced truncation; gramians; singular values
资金
- DFG Research Center MATHEON for key technologies in Berlin
In this paper we consider structure-preserving model reduction of second-order systems Using a balanced truncation approach. Several sets of singular values are introduced for such systems, which lead to different concepts of balancing and different second-order balanced truncation methods, A comparison of these methods with other second-order balanced truncation techniques is presented. We also show that, in general, none of the existing structure-preserving balanced truncation methods for second-order systems preserves stability in the reduced models. Numerical examples are given that demonstrate the properties of the new methods.
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